Finding the Third Proportional to 116,064 and 185,472

Step by Step Solution

1. Step 1: Write the proportion equation
   116,064 : 185,472 = 185,472 : x
2. Step 2: Convert to fraction form
   116,064/185,472 = 185,472/x
3. Step 3: Cross multiply
   116,064x = 185,472 × 185,472
4. Step 4: Simplify right side
   116,064x = 34,399,862,784
5. Step 5: Solve for x
   x = 34,399,862,784/116,064
6. Step 6: Final answer
   x = 296,387.02