Finding the Third Proportional to 210,766 and 316,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,766 : 316,153.50 = 316,153.50 : x
2. Step 2: Convert to fraction form
   210,766/316,153.50 = 316,153.50/x
3. Step 3: Cross multiply
   210,766x = 316,153.50 × 316,153.50
4. Step 4: Simplify right side
   210,766x = 99,953,035,562.25
5. Step 5: Solve for x
   x = 99,953,035,562.25/210,766
6. Step 6: Final answer
   x = 474,237.00