Finding the Third Proportional to 106,527 and 165,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,527 : 165,610.50 = 165,610.50 : x
2. Step 2: Convert to fraction form
   106,527/165,610.50 = 165,610.50/x
3. Step 3: Cross multiply
   106,527x = 165,610.50 × 165,610.50
4. Step 4: Simplify right side
   106,527x = 27,426,837,710.25
5. Step 5: Solve for x
   x = 27,426,837,710.25/106,527
6. Step 6: Final answer
   x = 257,463.72