Finding the Third Proportional to 101,092.69 and 216,386.03

Step by Step Solution

1. Step 1: Write the proportion equation
   101,092.69 : 216,386.03 = 216,386.03 : x
2. Step 2: Convert to fraction form
   101,092.69/216,386.03 = 216,386.03/x
3. Step 3: Cross multiply
   101,092.69x = 216,386.03 × 216,386.03
4. Step 4: Simplify right side
   101,092.69x = 46,822,914,520.13
5. Step 5: Solve for x
   x = 46,822,914,520.13/101,092.69
6. Step 6: Final answer
   x = 463,168.16