Finding the Third Proportional to 145,948.50 and 314,412

Step by Step Solution

1. Step 1: Write the proportion equation
   145,948.50 : 314,412 = 314,412 : x
2. Step 2: Convert to fraction form
   145,948.50/314,412 = 314,412/x
3. Step 3: Cross multiply
   145,948.50x = 314,412 × 314,412
4. Step 4: Simplify right side
   145,948.50x = 98,854,905,744
5. Step 5: Solve for x
   x = 98,854,905,744/145,948.50
6. Step 6: Final answer
   x = 677,327.32