Finding the Third Proportional to 53,109.50 and 115,585

Step by Step Solution

1. Step 1: Write the proportion equation
   53,109.50 : 115,585 = 115,585 : x
2. Step 2: Convert to fraction form
   53,109.50/115,585 = 115,585/x
3. Step 3: Cross multiply
   53,109.50x = 115,585 × 115,585
4. Step 4: Simplify right side
   53,109.50x = 13,359,892,225
5. Step 5: Solve for x
   x = 13,359,892,225/53,109.50
6. Step 6: Final answer
   x = 251,553.72