Finding the Third Proportional to 194,209 and 293,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,209 : 293,096.50 = 293,096.50 : x
2. Step 2: Convert to fraction form
   194,209/293,096.50 = 293,096.50/x
3. Step 3: Cross multiply
   194,209x = 293,096.50 × 293,096.50
4. Step 4: Simplify right side
   194,209x = 85,905,558,312.25
5. Step 5: Solve for x
   x = 85,905,558,312.25/194,209
6. Step 6: Final answer
   x = 442,335.62