Finding the Third Proportional to 94,209 and 202,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,209 : 202,066.50 = 202,066.50 : x
2. Step 2: Convert to fraction form
   94,209/202,066.50 = 202,066.50/x
3. Step 3: Cross multiply
   94,209x = 202,066.50 × 202,066.50
4. Step 4: Simplify right side
   94,209x = 40,830,870,422.25
5. Step 5: Solve for x
   x = 40,830,870,422.25/94,209
6. Step 6: Final answer
   x = 433,407.32