Finding the Third Proportional to 104,677.50 and 149,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   104,677.50 : 149,513.25 = 149,513.25 : x
2. Step 2: Convert to fraction form
   104,677.50/149,513.25 = 149,513.25/x
3. Step 3: Cross multiply
   104,677.50x = 149,513.25 × 149,513.25
4. Step 4: Simplify right side
   104,677.50x = 22,354,211,925.56
5. Step 5: Solve for x
   x = 22,354,211,925.56/104,677.50
6. Step 6: Final answer
   x = 213,553.17