Finding the Third Proportional to 302,427 and 456,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,427 : 456,070.50 = 456,070.50 : x
2. Step 2: Convert to fraction form
   302,427/456,070.50 = 456,070.50/x
3. Step 3: Cross multiply
   302,427x = 456,070.50 × 456,070.50
4. Step 4: Simplify right side
   302,427x = 208,000,300,970.25
5. Step 5: Solve for x
   x = 208,000,300,970.25/302,427
6. Step 6: Final answer
   x = 687,770.28