Finding the Third Proportional to 83,497.50 and 179,139

Step by Step Solution

1. Step 1: Write the proportion equation
   83,497.50 : 179,139 = 179,139 : x
2. Step 2: Convert to fraction form
   83,497.50/179,139 = 179,139/x
3. Step 3: Cross multiply
   83,497.50x = 179,139 × 179,139
4. Step 4: Simplify right side
   83,497.50x = 32,090,781,321
5. Step 5: Solve for x
   x = 32,090,781,321/83,497.50
6. Step 6: Final answer
   x = 384,332.24