Finding the Third Proportional to 164,490 and 358,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,490 : 358,727.50 = 358,727.50 : x
2. Step 2: Convert to fraction form
   164,490/358,727.50 = 358,727.50/x
3. Step 3: Cross multiply
   164,490x = 358,727.50 × 358,727.50
4. Step 4: Simplify right side
   164,490x = 128,685,419,256.25
5. Step 5: Solve for x
   x = 128,685,419,256.25/164,490
6. Step 6: Final answer
   x = 782,329.74