Finding the Third Proportional to 111,730 and 243,117

Step by Step Solution

1. Step 1: Write the proportion equation
   111,730 : 243,117 = 243,117 : x
2. Step 2: Convert to fraction form
   111,730/243,117 = 243,117/x
3. Step 3: Cross multiply
   111,730x = 243,117 × 243,117
4. Step 4: Simplify right side
   111,730x = 59,105,875,689
5. Step 5: Solve for x
   x = 59,105,875,689/111,730
6. Step 6: Final answer
   x = 529,006.32