Finding the Third Proportional to 117,537 and 165,156.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,537 : 165,156.75 = 165,156.75 : x
2. Step 2: Convert to fraction form
   117,537/165,156.75 = 165,156.75/x
3. Step 3: Cross multiply
   117,537x = 165,156.75 × 165,156.75
4. Step 4: Simplify right side
   117,537x = 27,276,752,070.56
5. Step 5: Solve for x
   x = 27,276,752,070.56/117,537
6. Step 6: Final answer
   x = 232,069.49