Finding the Third Proportional to 194,458 and 291,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,458 : 291,690.50 = 291,690.50 : x
2. Step 2: Convert to fraction form
   194,458/291,690.50 = 291,690.50/x
3. Step 3: Cross multiply
   194,458x = 291,690.50 × 291,690.50
4. Step 4: Simplify right side
   194,458x = 85,083,347,790.25
5. Step 5: Solve for x
   x = 85,083,347,790.25/194,458
6. Step 6: Final answer
   x = 437,541.00