Finding the Third Proportional to 77,490 and 164,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,490 : 164,200.50 = 164,200.50 : x
2. Step 2: Convert to fraction form
   77,490/164,200.50 = 164,200.50/x
3. Step 3: Cross multiply
   77,490x = 164,200.50 × 164,200.50
4. Step 4: Simplify right side
   77,490x = 26,961,804,200.25
5. Step 5: Solve for x
   x = 26,961,804,200.25/77,490
6. Step 6: Final answer
   x = 347,939.14