Finding the Third Proportional to 149,850 and 318,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,850 : 318,769.50 = 318,769.50 : x
2. Step 2: Convert to fraction form
   149,850/318,769.50 = 318,769.50/x
3. Step 3: Cross multiply
   149,850x = 318,769.50 × 318,769.50
4. Step 4: Simplify right side
   149,850x = 101,613,994,130.25
5. Step 5: Solve for x
   x = 101,613,994,130.25/149,850
6. Step 6: Final answer
   x = 678,104.73