Finding the Third Proportional to 56,385 and 87,264

Step by Step Solution

1. Step 1: Write the proportion equation
   56,385 : 87,264 = 87,264 : x
2. Step 2: Convert to fraction form
   56,385/87,264 = 87,264/x
3. Step 3: Cross multiply
   56,385x = 87,264 × 87,264
4. Step 4: Simplify right side
   56,385x = 7,615,005,696
5. Step 5: Solve for x
   x = 7,615,005,696/56,385
6. Step 6: Final answer
   x = 135,053.75