Finding the Third Proportional to 50,386.50 and 78,643.13

Step by Step Solution

1. Step 1: Write the proportion equation
   50,386.50 : 78,643.13 = 78,643.13 : x
2. Step 2: Convert to fraction form
   50,386.50/78,643.13 = 78,643.13/x
3. Step 3: Cross multiply
   50,386.50x = 78,643.13 × 78,643.13
4. Step 4: Simplify right side
   50,386.50x = 6,184,741,109.77
5. Step 5: Solve for x
   x = 6,184,741,109.77/50,386.50
6. Step 6: Final answer
   x = 122,746.00