Finding the Third Proportional to 42,312 and 89,376

Step by Step Solution

1. Step 1: Write the proportion equation
   42,312 : 89,376 = 89,376 : x
2. Step 2: Convert to fraction form
   42,312/89,376 = 89,376/x
3. Step 3: Cross multiply
   42,312x = 89,376 × 89,376
4. Step 4: Simplify right side
   42,312x = 7,988,069,376
5. Step 5: Solve for x
   x = 7,988,069,376/42,312
6. Step 6: Final answer
   x = 188,789.69