Finding the Third Proportional to 52,166 and 112,194

Step by Step Solution

1. Step 1: Write the proportion equation
   52,166 : 112,194 = 112,194 : x
2. Step 2: Convert to fraction form
   52,166/112,194 = 112,194/x
3. Step 3: Cross multiply
   52,166x = 112,194 × 112,194
4. Step 4: Simplify right side
   52,166x = 12,587,493,636
5. Step 5: Solve for x
   x = 12,587,493,636/52,166
6. Step 6: Final answer
   x = 241,296.89