Finding the Third Proportional to 49,254 and 78,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,254 : 78,004.50 = 78,004.50 : x
2. Step 2: Convert to fraction form
   49,254/78,004.50 = 78,004.50/x
3. Step 3: Cross multiply
   49,254x = 78,004.50 × 78,004.50
4. Step 4: Simplify right side
   49,254x = 6,084,702,020.25
5. Step 5: Solve for x
   x = 6,084,702,020.25/49,254
6. Step 6: Final answer
   x = 123,537.22