Finding the Third Proportional to 72,461 and 149,600

Step by Step Solution

1. Step 1: Write the proportion equation
   72,461 : 149,600 = 149,600 : x
2. Step 2: Convert to fraction form
   72,461/149,600 = 149,600/x
3. Step 3: Cross multiply
   72,461x = 149,600 × 149,600
4. Step 4: Simplify right side
   72,461x = 22,380,160,000
5. Step 5: Solve for x
   x = 22,380,160,000/72,461
6. Step 6: Final answer
   x = 308,858.01