Finding the Third Proportional to 307,710 and 465,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,710 : 465,808.50 = 465,808.50 : x
2. Step 2: Convert to fraction form
   307,710/465,808.50 = 465,808.50/x
3. Step 3: Cross multiply
   307,710x = 465,808.50 × 465,808.50
4. Step 4: Simplify right side
   307,710x = 216,977,558,672.25
5. Step 5: Solve for x
   x = 216,977,558,672.25/307,710
6. Step 6: Final answer
   x = 705,136.52