Finding the Third Proportional to 45,768 and 94,362

Step by Step Solution

1. Step 1: Write the proportion equation
   45,768 : 94,362 = 94,362 : x
2. Step 2: Convert to fraction form
   45,768/94,362 = 94,362/x
3. Step 3: Cross multiply
   45,768x = 94,362 × 94,362
4. Step 4: Simplify right side
   45,768x = 8,904,187,044
5. Step 5: Solve for x
   x = 8,904,187,044/45,768
6. Step 6: Final answer
   x = 194,550.49