Finding the Third Proportional to 194,068 and 294,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,068 : 294,602.50 = 294,602.50 : x
2. Step 2: Convert to fraction form
   194,068/294,602.50 = 294,602.50/x
3. Step 3: Cross multiply
   194,068x = 294,602.50 × 294,602.50
4. Step 4: Simplify right side
   194,068x = 86,790,633,006.25
5. Step 5: Solve for x
   x = 86,790,633,006.25/194,068
6. Step 6: Final answer
   x = 447,217.64