Finding the Third Proportional to 52,984 and 112,284

Step by Step Solution

1. Step 1: Write the proportion equation
   52,984 : 112,284 = 112,284 : x
2. Step 2: Convert to fraction form
   52,984/112,284 = 112,284/x
3. Step 3: Cross multiply
   52,984x = 112,284 × 112,284
4. Step 4: Simplify right side
   52,984x = 12,607,696,656
5. Step 5: Solve for x
   x = 12,607,696,656/52,984
6. Step 6: Final answer
   x = 237,952.90