Finding the Third Proportional to 55,818 and 78,076

Step by Step Solution

1. Step 1: Write the proportion equation
   55,818 : 78,076 = 78,076 : x
2. Step 2: Convert to fraction form
   55,818/78,076 = 78,076/x
3. Step 3: Cross multiply
   55,818x = 78,076 × 78,076
4. Step 4: Simplify right side
   55,818x = 6,095,861,776
5. Step 5: Solve for x
   x = 6,095,861,776/55,818
6. Step 6: Final answer
   x = 109,209.61