Finding the Third Proportional to 55,814 and 78,070

Step by Step Solution

1. Step 1: Write the proportion equation
   55,814 : 78,070 = 78,070 : x
2. Step 2: Convert to fraction form
   55,814/78,070 = 78,070/x
3. Step 3: Cross multiply
   55,814x = 78,070 × 78,070
4. Step 4: Simplify right side
   55,814x = 6,094,924,900
5. Step 5: Solve for x
   x = 6,094,924,900/55,814
6. Step 6: Final answer
   x = 109,200.65