Finding the Third Proportional to 56,332 and 105,566

Step by Step Solution

1. Step 1: Write the proportion equation
   56,332 : 105,566 = 105,566 : x
2. Step 2: Convert to fraction form
   56,332/105,566 = 105,566/x
3. Step 3: Cross multiply
   56,332x = 105,566 × 105,566
4. Step 4: Simplify right side
   56,332x = 11,144,180,356
5. Step 5: Solve for x
   x = 11,144,180,356/56,332
6. Step 6: Final answer
   x = 197,830.37