Finding the Third Proportional to 101,200 and 151,776

Step by Step Solution

1. Step 1: Write the proportion equation
   101,200 : 151,776 = 151,776 : x
2. Step 2: Convert to fraction form
   101,200/151,776 = 151,776/x
3. Step 3: Cross multiply
   101,200x = 151,776 × 151,776
4. Step 4: Simplify right side
   101,200x = 23,035,954,176
5. Step 5: Solve for x
   x = 23,035,954,176/101,200
6. Step 6: Final answer
   x = 227,628.01