Finding the Third Proportional to 97,822 and 131,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,822 : 131,028.50 = 131,028.50 : x
2. Step 2: Convert to fraction form
   97,822/131,028.50 = 131,028.50/x
3. Step 3: Cross multiply
   97,822x = 131,028.50 × 131,028.50
4. Step 4: Simplify right side
   97,822x = 17,168,467,812.25
5. Step 5: Solve for x
   x = 17,168,467,812.25/97,822
6. Step 6: Final answer
   x = 175,507.23