Finding the Third Proportional to 77,814 and 112,590

Step by Step Solution

1. Step 1: Write the proportion equation
   77,814 : 112,590 = 112,590 : x
2. Step 2: Convert to fraction form
   77,814/112,590 = 112,590/x
3. Step 3: Cross multiply
   77,814x = 112,590 × 112,590
4. Step 4: Simplify right side
   77,814x = 12,676,508,100
5. Step 5: Solve for x
   x = 12,676,508,100/77,814
6. Step 6: Final answer
   x = 162,907.81