Finding the Third Proportional to 115,902 and 165,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,902 : 165,428.50 = 165,428.50 : x
2. Step 2: Convert to fraction form
   115,902/165,428.50 = 165,428.50/x
3. Step 3: Cross multiply
   115,902x = 165,428.50 × 165,428.50
4. Step 4: Simplify right side
   115,902x = 27,366,588,612.25
5. Step 5: Solve for x
   x = 27,366,588,612.25/115,902
6. Step 6: Final answer
   x = 236,118.35