Finding the Third Proportional to 148,554 and 320,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,554 : 320,779.50 = 320,779.50 : x
2. Step 2: Convert to fraction form
   148,554/320,779.50 = 320,779.50/x
3. Step 3: Cross multiply
   148,554x = 320,779.50 × 320,779.50
4. Step 4: Simplify right side
   148,554x = 102,899,487,620.25
5. Step 5: Solve for x
   x = 102,899,487,620.25/148,554
6. Step 6: Final answer
   x = 692,673.96