Finding the Third Proportional to 165,807 and 266,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,807 : 266,935.50 = 266,935.50 : x
2. Step 2: Convert to fraction form
   165,807/266,935.50 = 266,935.50/x
3. Step 3: Cross multiply
   165,807x = 266,935.50 × 266,935.50
4. Step 4: Simplify right side
   165,807x = 71,254,561,160.25
5. Step 5: Solve for x
   x = 71,254,561,160.25/165,807
6. Step 6: Final answer
   x = 429,743.99