Finding the Third Proportional to 153,577 and 319,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,577 : 319,415.50 = 319,415.50 : x
2. Step 2: Convert to fraction form
   153,577/319,415.50 = 319,415.50/x
3. Step 3: Cross multiply
   153,577x = 319,415.50 × 319,415.50
4. Step 4: Simplify right side
   153,577x = 102,026,261,640.25
5. Step 5: Solve for x
   x = 102,026,261,640.25/153,577
6. Step 6: Final answer
   x = 664,332.95