Finding the Third Proportional to 147,546 and 316,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,546 : 316,597.50 = 316,597.50 : x
2. Step 2: Convert to fraction form
   147,546/316,597.50 = 316,597.50/x
3. Step 3: Cross multiply
   147,546x = 316,597.50 × 316,597.50
4. Step 4: Simplify right side
   147,546x = 100,233,977,006.25
5. Step 5: Solve for x
   x = 100,233,977,006.25/147,546
6. Step 6: Final answer
   x = 679,340.52