Finding the Third Proportional to 49,788 and 78,875

Step by Step Solution

1. Step 1: Write the proportion equation
   49,788 : 78,875 = 78,875 : x
2. Step 2: Convert to fraction form
   49,788/78,875 = 78,875/x
3. Step 3: Cross multiply
   49,788x = 78,875 × 78,875
4. Step 4: Simplify right side
   49,788x = 6,221,265,625
5. Step 5: Solve for x
   x = 6,221,265,625/49,788
6. Step 6: Final answer
   x = 124,955.12