Finding the Third Proportional to 71,109,635,094 and 102,741,142,824

Step by Step Solution

1. Step 1: Write the proportion equation
   71,109,635,094 : 102,741,142,824 = 102,741,142,824 : x
2. Step 2: Convert to fraction form
   71,109,635,094/102,741,142,824 = 102,741,142,824/x
3. Step 3: Cross multiply
   71,109,635,094x = 102,741,142,824 × 102,741,142,824
4. Step 4: Simplify right side
   71,109,635,094x = 10,555,742,428,781,567,016,960
5. Step 5: Solve for x
   x = 10,555,742,428,781,567,016,960/71,109,635,094
6. Step 6: Final answer
   x = 148,443,209,064.82