Finding the Third Proportional to 52,358 and 109,132

Step by Step Solution

1. Step 1: Write the proportion equation
   52,358 : 109,132 = 109,132 : x
2. Step 2: Convert to fraction form
   52,358/109,132 = 109,132/x
3. Step 3: Cross multiply
   52,358x = 109,132 × 109,132
4. Step 4: Simplify right side
   52,358x = 11,909,793,424
5. Step 5: Solve for x
   x = 11,909,793,424/52,358
6. Step 6: Final answer
   x = 227,468.46