Finding the Third Proportional to 52,128 and 112,362

Step by Step Solution

1. Step 1: Write the proportion equation
   52,128 : 112,362 = 112,362 : x
2. Step 2: Convert to fraction form
   52,128/112,362 = 112,362/x
3. Step 3: Cross multiply
   52,128x = 112,362 × 112,362
4. Step 4: Simplify right side
   52,128x = 12,625,219,044
5. Step 5: Solve for x
   x = 12,625,219,044/52,128
6. Step 6: Final answer
   x = 242,196.50