Finding the Third Proportional to 72,772 and 151,688

Step by Step Solution

1. Step 1: Write the proportion equation
   72,772 : 151,688 = 151,688 : x
2. Step 2: Convert to fraction form
   72,772/151,688 = 151,688/x
3. Step 3: Cross multiply
   72,772x = 151,688 × 151,688
4. Step 4: Simplify right side
   72,772x = 23,009,249,344
5. Step 5: Solve for x
   x = 23,009,249,344/72,772
6. Step 6: Final answer
   x = 316,182.73