Finding the Third Proportional to 97,732.50 and 152,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,732.50 : 152,440.50 = 152,440.50 : x
2. Step 2: Convert to fraction form
   97,732.50/152,440.50 = 152,440.50/x
3. Step 3: Cross multiply
   97,732.50x = 152,440.50 × 152,440.50
4. Step 4: Simplify right side
   97,732.50x = 23,238,106,040.25
5. Step 5: Solve for x
   x = 23,238,106,040.25/97,732.50
6. Step 6: Final answer
   x = 237,772.55