Finding the Third Proportional to 83,772 and 130,308

Step by Step Solution

1. Step 1: Write the proportion equation
   83,772 : 130,308 = 130,308 : x
2. Step 2: Convert to fraction form
   83,772/130,308 = 130,308/x
3. Step 3: Cross multiply
   83,772x = 130,308 × 130,308
4. Step 4: Simplify right side
   83,772x = 16,980,174,864
5. Step 5: Solve for x
   x = 16,980,174,864/83,772
6. Step 6: Final answer
   x = 202,695.11