Finding the Third Proportional to 40,875 and 87,294

Step by Step Solution

1. Step 1: Write the proportion equation
   40,875 : 87,294 = 87,294 : x
2. Step 2: Convert to fraction form
   40,875/87,294 = 87,294/x
3. Step 3: Cross multiply
   40,875x = 87,294 × 87,294
4. Step 4: Simplify right side
   40,875x = 7,620,242,436
5. Step 5: Solve for x
   x = 7,620,242,436/40,875
6. Step 6: Final answer
   x = 186,427.95