Finding the Third Proportional to 49,312 and 78,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,312 : 78,549.50 = 78,549.50 : x
2. Step 2: Convert to fraction form
   49,312/78,549.50 = 78,549.50/x
3. Step 3: Cross multiply
   49,312x = 78,549.50 × 78,549.50
4. Step 4: Simplify right side
   49,312x = 6,170,023,950.25
5. Step 5: Solve for x
   x = 6,170,023,950.25/49,312
6. Step 6: Final answer
   x = 125,122.16