Finding the Third Proportional to 97,323 and 209,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,323 : 209,833.50 = 209,833.50 : x
2. Step 2: Convert to fraction form
   97,323/209,833.50 = 209,833.50/x
3. Step 3: Cross multiply
   97,323x = 209,833.50 × 209,833.50
4. Step 4: Simplify right side
   97,323x = 44,030,097,722.25
5. Step 5: Solve for x
   x = 44,030,097,722.25/97,323
6. Step 6: Final answer
   x = 452,412.05