Finding the Third Proportional to 97,191.75 and 152,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,191.75 : 152,132.50 = 152,132.50 : x
2. Step 2: Convert to fraction form
   97,191.75/152,132.50 = 152,132.50/x
3. Step 3: Cross multiply
   97,191.75x = 152,132.50 × 152,132.50
4. Step 4: Simplify right side
   97,191.75x = 23,144,297,556.25
5. Step 5: Solve for x
   x = 23,144,297,556.25/97,191.75
6. Step 6: Final answer
   x = 238,130.27