Finding the Third Proportional to 146,098.50 and 314,391

Step by Step Solution

1. Step 1: Write the proportion equation
   146,098.50 : 314,391 = 314,391 : x
2. Step 2: Convert to fraction form
   146,098.50/314,391 = 314,391/x
3. Step 3: Cross multiply
   146,098.50x = 314,391 × 314,391
4. Step 4: Simplify right side
   146,098.50x = 98,841,700,881
5. Step 5: Solve for x
   x = 98,841,700,881/146,098.50
6. Step 6: Final answer
   x = 676,541.52