Finding the Third Proportional to 52,184 and 112,705

Step by Step Solution

1. Step 1: Write the proportion equation
   52,184 : 112,705 = 112,705 : x
2. Step 2: Convert to fraction form
   52,184/112,705 = 112,705/x
3. Step 3: Cross multiply
   52,184x = 112,705 × 112,705
4. Step 4: Simplify right side
   52,184x = 12,702,417,025
5. Step 5: Solve for x
   x = 12,702,417,025/52,184
6. Step 6: Final answer
   x = 243,415.93