Finding the Third Proportional to 107,083 and 156,784

Step by Step Solution

1. Step 1: Write the proportion equation
   107,083 : 156,784 = 156,784 : x
2. Step 2: Convert to fraction form
   107,083/156,784 = 156,784/x
3. Step 3: Cross multiply
   107,083x = 156,784 × 156,784
4. Step 4: Simplify right side
   107,083x = 24,581,222,656
5. Step 5: Solve for x
   x = 24,581,222,656/107,083
6. Step 6: Final answer
   x = 229,552.99