Finding the Third Proportional to 182,092.50 and 386,784

Step by Step Solution

1. Step 1: Write the proportion equation
   182,092.50 : 386,784 = 386,784 : x
2. Step 2: Convert to fraction form
   182,092.50/386,784 = 386,784/x
3. Step 3: Cross multiply
   182,092.50x = 386,784 × 386,784
4. Step 4: Simplify right side
   182,092.50x = 149,601,862,656
5. Step 5: Solve for x
   x = 149,601,862,656/182,092.50
6. Step 6: Final answer
   x = 821,570.70