Finding the Third Proportional to 139,461 and 286,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,461 : 286,273.50 = 286,273.50 : x
2. Step 2: Convert to fraction form
   139,461/286,273.50 = 286,273.50/x
3. Step 3: Cross multiply
   139,461x = 286,273.50 × 286,273.50
4. Step 4: Simplify right side
   139,461x = 81,952,516,802.25
5. Step 5: Solve for x
   x = 81,952,516,802.25/139,461
6. Step 6: Final answer
   x = 587,637.52