Finding the Third Proportional to 52,258 and 112,776

Step by Step Solution

1. Step 1: Write the proportion equation
   52,258 : 112,776 = 112,776 : x
2. Step 2: Convert to fraction form
   52,258/112,776 = 112,776/x
3. Step 3: Cross multiply
   52,258x = 112,776 × 112,776
4. Step 4: Simplify right side
   52,258x = 12,718,426,176
5. Step 5: Solve for x
   x = 12,718,426,176/52,258
6. Step 6: Final answer
   x = 243,377.59