Finding the Third Proportional to 164,001 and 353,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,001 : 353,152.50 = 353,152.50 : x
2. Step 2: Convert to fraction form
   164,001/353,152.50 = 353,152.50/x
3. Step 3: Cross multiply
   164,001x = 353,152.50 × 353,152.50
4. Step 4: Simplify right side
   164,001x = 124,716,688,256.25
5. Step 5: Solve for x
   x = 124,716,688,256.25/164,001
6. Step 6: Final answer
   x = 760,462.97