Finding the Third Proportional to 60,878 and 91,461

Step by Step Solution

1. Step 1: Write the proportion equation
   60,878 : 91,461 = 91,461 : x
2. Step 2: Convert to fraction form
   60,878/91,461 = 91,461/x
3. Step 3: Cross multiply
   60,878x = 91,461 × 91,461
4. Step 4: Simplify right side
   60,878x = 8,365,114,521
5. Step 5: Solve for x
   x = 8,365,114,521/60,878
6. Step 6: Final answer
   x = 137,407.84