Finding the Third Proportional to 53,897.50 and 114,599

Step by Step Solution

1. Step 1: Write the proportion equation
   53,897.50 : 114,599 = 114,599 : x
2. Step 2: Convert to fraction form
   53,897.50/114,599 = 114,599/x
3. Step 3: Cross multiply
   53,897.50x = 114,599 × 114,599
4. Step 4: Simplify right side
   53,897.50x = 13,132,930,801
5. Step 5: Solve for x
   x = 13,132,930,801/53,897.50
6. Step 6: Final answer
   x = 243,664.93