Finding the Third Proportional to 97,123.50 and 149,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,123.50 : 149,998.50 = 149,998.50 : x
2. Step 2: Convert to fraction form
   97,123.50/149,998.50 = 149,998.50/x
3. Step 3: Cross multiply
   97,123.50x = 149,998.50 × 149,998.50
4. Step 4: Simplify right side
   97,123.50x = 22,499,550,002.25
5. Step 5: Solve for x
   x = 22,499,550,002.25/97,123.50
6. Step 6: Final answer
   x = 231,659.18