Finding the Third Proportional to 52,122 and 112,354

Step by Step Solution

1. Step 1: Write the proportion equation
   52,122 : 112,354 = 112,354 : x
2. Step 2: Convert to fraction form
   52,122/112,354 = 112,354/x
3. Step 3: Cross multiply
   52,122x = 112,354 × 112,354
4. Step 4: Simplify right side
   52,122x = 12,623,421,316
5. Step 5: Solve for x
   x = 12,623,421,316/52,122
6. Step 6: Final answer
   x = 242,189.89