Finding the Third Proportional to 206,961 and 312,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,961 : 312,061.50 = 312,061.50 : x
2. Step 2: Convert to fraction form
   206,961/312,061.50 = 312,061.50/x
3. Step 3: Cross multiply
   206,961x = 312,061.50 × 312,061.50
4. Step 4: Simplify right side
   206,961x = 97,382,379,782.25
5. Step 5: Solve for x
   x = 97,382,379,782.25/206,961
6. Step 6: Final answer
   x = 470,534.93