Finding the Third Proportional to 83,312 and 179,746

Step by Step Solution

1. Step 1: Write the proportion equation
   83,312 : 179,746 = 179,746 : x
2. Step 2: Convert to fraction form
   83,312/179,746 = 179,746/x
3. Step 3: Cross multiply
   83,312x = 179,746 × 179,746
4. Step 4: Simplify right side
   83,312x = 32,308,624,516
5. Step 5: Solve for x
   x = 32,308,624,516/83,312
6. Step 6: Final answer
   x = 387,802.77