Finding the Third Proportional to 114,897 and 165,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,897 : 165,487.50 = 165,487.50 : x
2. Step 2: Convert to fraction form
   114,897/165,487.50 = 165,487.50/x
3. Step 3: Cross multiply
   114,897x = 165,487.50 × 165,487.50
4. Step 4: Simplify right side
   114,897x = 27,386,112,656.25
5. Step 5: Solve for x
   x = 27,386,112,656.25/114,897
6. Step 6: Final answer
   x = 238,353.59