Finding the Third Proportional to 81,234 and 189,802.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81,234 : 189,802.69 = 189,802.69 : x
2. Step 2: Convert to fraction form
   81,234/189,802.69 = 189,802.69/x
3. Step 3: Cross multiply
   81,234x = 189,802.69 × 189,802.69
4. Step 4: Simplify right side
   81,234x = 36,025,060,182.22
5. Step 5: Solve for x
   x = 36,025,060,182.22/81,234
6. Step 6: Final answer
   x = 443,472.69