Finding the Third Proportional to 133,172 and 286,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,172 : 286,107.50 = 286,107.50 : x
2. Step 2: Convert to fraction form
   133,172/286,107.50 = 286,107.50/x
3. Step 3: Cross multiply
   133,172x = 286,107.50 × 286,107.50
4. Step 4: Simplify right side
   133,172x = 81,857,501,556.25
5. Step 5: Solve for x
   x = 81,857,501,556.25/133,172
6. Step 6: Final answer
   x = 614,675.02