Finding the Third Proportional to 130,638 and 286,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,638 : 286,192.50 = 286,192.50 : x
2. Step 2: Convert to fraction form
   130,638/286,192.50 = 286,192.50/x
3. Step 3: Cross multiply
   130,638x = 286,192.50 × 286,192.50
4. Step 4: Simplify right side
   130,638x = 81,906,147,056.25
5. Step 5: Solve for x
   x = 81,906,147,056.25/130,638
6. Step 6: Final answer
   x = 626,970.31