Finding the Third Proportional to 307,974 and 460,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,974 : 460,705.50 = 460,705.50 : x
2. Step 2: Convert to fraction form
   307,974/460,705.50 = 460,705.50/x
3. Step 3: Cross multiply
   307,974x = 460,705.50 × 460,705.50
4. Step 4: Simplify right side
   307,974x = 212,249,557,730.25
5. Step 5: Solve for x
   x = 212,249,557,730.25/307,974
6. Step 6: Final answer
   x = 689,180.12