Finding the Third Proportional to 51,776 and 112,014

Step by Step Solution

1. Step 1: Write the proportion equation
   51,776 : 112,014 = 112,014 : x
2. Step 2: Convert to fraction form
   51,776/112,014 = 112,014/x
3. Step 3: Cross multiply
   51,776x = 112,014 × 112,014
4. Step 4: Simplify right side
   51,776x = 12,547,136,196
5. Step 5: Solve for x
   x = 12,547,136,196/51,776
6. Step 6: Final answer
   x = 242,334.99