Finding the Third Proportional to 152,422 and 231,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,422 : 231,672.50 = 231,672.50 : x
2. Step 2: Convert to fraction form
   152,422/231,672.50 = 231,672.50/x
3. Step 3: Cross multiply
   152,422x = 231,672.50 × 231,672.50
4. Step 4: Simplify right side
   152,422x = 53,672,147,256.25
5. Step 5: Solve for x
   x = 53,672,147,256.25/152,422
6. Step 6: Final answer
   x = 352,128.61