Finding the Third Proportional to 65,534 and 142,164

Step by Step Solution

1. Step 1: Write the proportion equation
   65,534 : 142,164 = 142,164 : x
2. Step 2: Convert to fraction form
   65,534/142,164 = 142,164/x
3. Step 3: Cross multiply
   65,534x = 142,164 × 142,164
4. Step 4: Simplify right side
   65,534x = 20,210,602,896
5. Step 5: Solve for x
   x = 20,210,602,896/65,534
6. Step 6: Final answer
   x = 308,398.74