Finding the Third Proportional to 77,770 and 164,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,770 : 164,952.50 = 164,952.50 : x
2. Step 2: Convert to fraction form
   77,770/164,952.50 = 164,952.50/x
3. Step 3: Cross multiply
   77,770x = 164,952.50 × 164,952.50
4. Step 4: Simplify right side
   77,770x = 27,209,327,256.25
5. Step 5: Solve for x
   x = 27,209,327,256.25/77,770
6. Step 6: Final answer
   x = 349,869.19