Finding the Third Proportional to 100,824 and 152,047

Step by Step Solution

1. Step 1: Write the proportion equation
   100,824 : 152,047 = 152,047 : x
2. Step 2: Convert to fraction form
   100,824/152,047 = 152,047/x
3. Step 3: Cross multiply
   100,824x = 152,047 × 152,047
4. Step 4: Simplify right side
   100,824x = 23,118,290,209
5. Step 5: Solve for x
   x = 23,118,290,209/100,824
6. Step 6: Final answer
   x = 229,293.52