Finding the Third Proportional to 189,108 and 409,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,108 : 409,714.50 = 409,714.50 : x
2. Step 2: Convert to fraction form
   189,108/409,714.50 = 409,714.50/x
3. Step 3: Cross multiply
   189,108x = 409,714.50 × 409,714.50
4. Step 4: Simplify right side
   189,108x = 167,865,971,510.25
5. Step 5: Solve for x
   x = 167,865,971,510.25/189,108
6. Step 6: Final answer
   x = 887,672.50