Finding the Third Proportional to 202,164 and 433,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,164 : 433,852.50 = 433,852.50 : x
2. Step 2: Convert to fraction form
   202,164/433,852.50 = 433,852.50/x
3. Step 3: Cross multiply
   202,164x = 433,852.50 × 433,852.50
4. Step 4: Simplify right side
   202,164x = 188,227,991,756.25
5. Step 5: Solve for x
   x = 188,227,991,756.25/202,164
6. Step 6: Final answer
   x = 931,065.83