Finding the Third Proportional to 286,158 and 455,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   286,158 : 455,506.50 = 455,506.50 : x
2. Step 2: Convert to fraction form
   286,158/455,506.50 = 455,506.50/x
3. Step 3: Cross multiply
   286,158x = 455,506.50 × 455,506.50
4. Step 4: Simplify right side
   286,158x = 207,486,171,542.25
5. Step 5: Solve for x
   x = 207,486,171,542.25/286,158
6. Step 6: Final answer
   x = 725,075.56