Finding the Third Proportional to 96,588 and 149,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,588 : 149,431.50 = 149,431.50 : x
2. Step 2: Convert to fraction form
   96,588/149,431.50 = 149,431.50/x
3. Step 3: Cross multiply
   96,588x = 149,431.50 × 149,431.50
4. Step 4: Simplify right side
   96,588x = 22,329,773,192.25
5. Step 5: Solve for x
   x = 22,329,773,192.25/96,588
6. Step 6: Final answer
   x = 231,185.79