Finding the Third Proportional to 52,209 and 84,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,209 : 84,064.50 = 84,064.50 : x
2. Step 2: Convert to fraction form
   52,209/84,064.50 = 84,064.50/x
3. Step 3: Cross multiply
   52,209x = 84,064.50 × 84,064.50
4. Step 4: Simplify right side
   52,209x = 7,066,840,160.25
5. Step 5: Solve for x
   x = 7,066,840,160.25/52,209
6. Step 6: Final answer
   x = 135,356.74