Finding the Third Proportional to 69,816 and 147,513

Step by Step Solution

1. Step 1: Write the proportion equation
   69,816 : 147,513 = 147,513 : x
2. Step 2: Convert to fraction form
   69,816/147,513 = 147,513/x
3. Step 3: Cross multiply
   69,816x = 147,513 × 147,513
4. Step 4: Simplify right side
   69,816x = 21,760,085,169
5. Step 5: Solve for x
   x = 21,760,085,169/69,816
6. Step 6: Final answer
   x = 311,677.63