Finding the Third Proportional to 147,984 and 319,613.75

Step by Step Solution

1. Step 1: Write the proportion equation
   147,984 : 319,613.75 = 319,613.75 : x
2. Step 2: Convert to fraction form
   147,984/319,613.75 = 319,613.75/x
3. Step 3: Cross multiply
   147,984x = 319,613.75 × 319,613.75
4. Step 4: Simplify right side
   147,984x = 102,152,949,189.06
5. Step 5: Solve for x
   x = 102,152,949,189.06/147,984
6. Step 6: Final answer
   x = 690,297.26